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2 years ago

7

A sock drawer has 8 blue socks and 6 black socks. If I randomly select two socks, one at a time, what is the probability I will

first get a blue sock and then, without replacing it, a black sock?
A.) 24/91

B.) 2/7

C.) 6/81

D.) 4/13

1 answer:

MAVERICK [17]2 years ago

6 0

The probability is most likely going to be

4/13

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Step-by-step explanation:

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Binomial probability distribution

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And p is the probability of X happening.

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$P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6)$

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$P(X = 6) = C_{8,6}.(0.62)^{6}.(0.38)^{2} = 0.2297$

$P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.2157 + 0.2815 + 0.2297 = 0.7269$

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